Question

What is the x-intercept of the equation

y= 3/2x−4?
a) (0,3)
b) (8/3,0)
c) (3,0)
d) (3/8,0)

Answer 1

The x-intercept of the equation y = 3/2x - 4 is (8/3, 0).

Step-by-step explanation:

The x-intercept of the equation y = 3/2x - 4 is the point where the graph of the equation intersects the x-axis. To find the x-intercept, we need to set y equal to zero and solve for x.

Setting y = 0, we have:

0 = 3/2x - 4

Adding 4 to both sides of the equation, we get:

4 = 3/2x

Multiplying both sides of the equation by 2/3, we have:

8/3 = x

Therefore, the x-intercept of the equation is (8/3, 0) (option b).